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Math Help - Can anyone help me with this prob?

  1. #1
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    Can anyone help me with this prob?

    Let U\subseteq R^n be an open set if \forall x\in U there exists an r > 0 such that B(x,r) \subseteq U. B(x.r) meaning a ball centered on x with radius r.

    1) Let a \in R^n. Prove that for all \epsilon > 0 B(a, \epsilon) is open

    2) Show that if U_1, .... ,U_n are open in R^n then U_1\cap ..... \cap U_n also open
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  2. #2
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    Anyone?
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